Math Problem Statement
What kind of triangle is this?
Solution
In this question, we need to identify the type of triangle based on its angles. The triangle has angles of , , and .
Explanation:
- Right Triangle: A triangle with exactly one angle.
- Obtuse Triangle: A triangle with one angle greater than .
- Acute Triangle: A triangle where all angles are less than .
- Equiangular Triangle: A triangle where all three angles are equal, each being .
Since this triangle has one angle that is , which is greater than , it qualifies as an obtuse triangle.
The correct answer should be:
- Obtuse
Would you like further details or have any questions?
Here are five related questions to expand understanding:
- What is the definition of an isosceles triangle?
- How do you determine if a triangle is a right triangle based on its angles?
- Can a triangle have more than one obtuse angle? Why or why not?
- What makes a triangle equilateral?
- How can we classify triangles based on side lengths?
Tip: Remember that a triangle can only have one angle above , which makes it obtuse.
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Math Problem Analysis
Mathematical Concepts
Triangle classification
Angle properties
Formulas
-
Theorems
Triangle angle sum theorem
Suitable Grade Level
Grades 6-8